Un Cig Ji教授講演会
講師： Un Cig Ji 氏 （韓国忠北国立大学教授）
題目： Evolution Systems and Continuity Equations forWhite Noise Functionals
In this talk, we start with an application of the continuity equation
to the optimal transportation problem. By applying the quantum
decomposition of white noise functionals, the continuity equations
for white noise functionals are reformulated as time inhomogeneous
white noise differential equations.
We establish a systematic study of the evolution systems whose
infinitesimal generators are quadratic quantum white noises and
then as an application, we study the continuity equations for white
noise functionals of which the coefficient has up to the first chaos
The restriction for the coefficient is comparable (not necessarily
equivalent) to the integrability condition of the exponential of the
coefficient by Ambrosio and Figalli for the well-posedness of the
continuity equation in the abstract Wiener space setting.